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Finding the Fourth Proportional to 374, 516.19 and 216.73

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Solution

The fourth proportional to 374, 516.19 and 216.73 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374 : 516.19 = 216.73 : x
  2. Step 2: Convert to fraction form
    374/516.19 = 216.73/x
  3. Step 3: Cross multiply
    374x = 516.19 × 216.73
  4. Step 4: Simplify right side
    374x = 111,873.86
  5. Step 5: Solve for x
    x = 111,873.86/374
  6. Step 6: Final answer
    x = 299.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.